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Finding the Fourth Proportional to 34,443.64, 47,520 and 22,513.87

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Solution

The fourth proportional to 34,443.64, 47,520 and 22,513.87 is: 31,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443.64 : 47,520 = 22,513.87 : x
  2. Step 2: Convert to fraction form
    34,443.64/47,520 = 22,513.87/x
  3. Step 3: Cross multiply
    34,443.64x = 47,520 × 22,513.87
  4. Step 4: Simplify right side
    34,443.64x = 1,069,859,102.40
  5. Step 5: Solve for x
    x = 1,069,859,102.40/34,443.64
  6. Step 6: Final answer
    x = 31,061.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.